7 is what percent of 92.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 92.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 92.9, so we can write it down as 100%=92.9.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=92.9
2) x%=7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=92.9/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 92.9

100%/x%=92.9/7
(100/x)*x=(92.9/7)*x       - we multiply both sides of the equation by x
100=13.271428571429*x       - we divide both sides of the equation by (13.271428571429) to get x
100/13.271428571429=x
7.534983853606=x
x=7.534983853606

now we have:
7 is 7.534983853606% of 92.9